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LEC #TopicsKey Dates
1The Geometry of Linear Equations
2Elimination with Matrices
3Matrix Operations and Inverses
4LU and LDU FactorizationProblem set 1 due
5Transposes and Permutations
6Vector Spaces and Subspaces
7The Nullspace: Solving Ax = 0Problem set 2 due
8Rectangular PA = LU and Ax = b
9Row Reduced Echelon Form
10Basis and DimensionProblem set 3 due
11The Four Fundamental Subspaces
12Exam 1: Chapters 1 to 3.5
13Graphs and Networks
14Orthogonality
15Projections and Subspaces
16Least Squares ApproximationsProblem set 4 due
17Gram-Schmidt and A = QR
18Properties of Determinants
19Formulas for DeterminantsProblem set 5 due
20Applications of Determinants
21Eigenvalues and Eigenvectors
22Exam ReviewProblem set 6 due
23Exam 2: Chapters 1-5
24Diagonalization
25Markov Matrices
26Fourier Series and Complex Matrices
27Differential Equations
28Symmetric MatricesProblem set 7 due
29Positive Definite Matrices
30Matrices in EngineeringProblem set 8 due
31Singular Value Decomposition
32Similar Matrices
33Linear TransformationsProblem set 9 due
34Choice of Basis
35Exam Review
36Exam 3: Chapters 1-8 (8.1, 2, 3, 5)
37Fast Fourier Transform
38Linear Programming
39Numerical Linear Algebra
40Final Exams

 








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